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Finding the Fourth Proportional to 3,545.95, 5,319.84 and 1,698.49

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Solution

The fourth proportional to 3,545.95, 5,319.84 and 1,698.49 is: 2,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.95 : 5,319.84 = 1,698.49 : x
  2. Step 2: Convert to fraction form
    3,545.95/5,319.84 = 1,698.49/x
  3. Step 3: Cross multiply
    3,545.95x = 5,319.84 × 1,698.49
  4. Step 4: Simplify right side
    3,545.95x = 9,035,695.04
  5. Step 5: Solve for x
    x = 9,035,695.04/3,545.95
  6. Step 6: Final answer
    x = 2,548.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.